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(x-2)(x-5)=0

less than a minute read Jun 17, 2024
(x-2)(x-5)=0

Solving the Equation: (x-2)(x-5) = 0

This equation is a simple quadratic equation in factored form. Let's break down how to solve it:

Understanding the Zero Product Property

The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

In our equation, (x-2) and (x-5) are the two factors.

Solving for x

To find the solutions, we set each factor equal to zero:

  • x - 2 = 0
  • x - 5 = 0

Now, solve each equation for x:

  • x = 2
  • x = 5

Conclusion

Therefore, the solutions to the equation (x-2)(x-5) = 0 are x = 2 and x = 5.

This means that the equation is true when x is equal to either 2 or 5.

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